- Title
- A variational model for conformation of graphene wrinkles formed on a shrinking solid metal substrate
- Creator
- Cox, Barry; Dyer, Tom; Thamwattana, Ngamta
- Relation
- Materials Research Express Vol. 7, Issue 8, no. 085001
- Publisher Link
- http://dx.doi.org/10.1088/2053-1591/abaa8f
- Publisher
- Institute of Physics Publishing
- Resource Type
- journal article
- Date
- 2020
- Description
- Chemical vapor deposition is a popular technique for producing high-quality graphene sheets on a substrate. However, the cooling process causes the graphene sheet to experience a strain-induced, out-of-plane buckling. These wrinkles structures can have undesirable effects on the properties of the graphene sheet. We construct a pair of models to analyse the conformation structure of these wrinkles. An arch-shaped wrinkle is first modelled then expanded to incorporate self-adhesion between the wrinkle edges. Variational techniques are employed on both models to determine the optimal conformation for graphene supported on Cu and Ni substrates. We find these models predict a similar structure to experimental analysis of graphene wrinkles on these solid metal substrates.
- Subject
- calculus of variations; graphene wrinkles; elastic energy; van der waals interactions; euler–lagrange equations
- Identifier
- http://hdl.handle.net/1959.13/1452594
- Identifier
- uon:44459
- Identifier
- ISSN:2053-1591
- Rights
- © 2020 The Author(s). Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. https://creativecommons.org/licenses/by/4.0/. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
- Language
- eng
- Full Text
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